Question

please helpThe table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account.

Answer 1

The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account. ​

part A)

Find the slope

to find out the slope , we need two points

we have (0,600) and (3,720)

m=(720-600)/(3-0)

m=120/3

m=$40 per day

Part b

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=40

(x1,y1)=(0,600)

y-600=40(x-0)

y-600=40x

convert to slope intercept form

isolate the variable y

y=40x+600

Convert to standard form

Ax+By=C

where

A is a positive integer

B and C are integers

so

40x-y=-600 ------> equation in standard form

Part C

using function notation

Let

f(x)=y

so

f(x)=40x+600 ------> equation in function notation

Part D

For x=7 days

substitute in the equation

f(7)=40(7)+600

f(7)=$880 ------> balance in the account after 7 days